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Finding the Third Proportional to 42,112.41 and 92,137.50

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Solution

The third proportional to 42,112.41 and 92,137.50 is: 201,587.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,112.41 : 92,137.50 = 92,137.50 : x
  2. Step 2: Convert to fraction form
    42,112.41/92,137.50 = 92,137.50/x
  3. Step 3: Cross multiply
    42,112.41x = 92,137.50 × 92,137.50
  4. Step 4: Simplify right side
    42,112.41x = 8,489,318,906.25
  5. Step 5: Solve for x
    x = 8,489,318,906.25/42,112.41
  6. Step 6: Final answer
    x = 201,587.13

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.